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Finding the Fourth Proportional to 273,214.20, 409,383.90 and 173,195.40

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Solution

The fourth proportional to 273,214.20, 409,383.90 and 173,195.40 is: 259,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,214.20 : 409,383.90 = 173,195.40 : x
  2. Step 2: Convert to fraction form
    273,214.20/409,383.90 = 173,195.40/x
  3. Step 3: Cross multiply
    273,214.20x = 409,383.90 × 173,195.40
  4. Step 4: Simplify right side
    273,214.20x = 70,903,408,314.06
  5. Step 5: Solve for x
    x = 70,903,408,314.06/273,214.20
  6. Step 6: Final answer
    x = 259,515.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.